What is the Greatest Common Factor of 55449 and 55464?

Greatest common factor (GCF) of 55449 and 55464 is 3.

GCF(55449,55464) = 3

We will now calculate the prime factors of 55449 and 55464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55449 and 55464.

How to find the GCF of 55449 and 55464?

We will first find the prime factorization of 55449 and 55464. After we will calculate the factors of 55449 and 55464 and find the biggest common factor number .

Step-1: Prime Factorization of 55449

Prime factors of 55449 are 3, 61, 101. Prime factorization of 55449 in exponential form is:

55449 = 3² × 61¹ × 101¹

Step-2: Prime Factorization of 55464

Prime factors of 55464 are 2, 3, 2311. Prime factorization of 55464 in exponential form is:

55464 = 2³ × 3¹ × 2311¹

Step-3: Factors of 55449

List of positive integer factors of 55449 that divides 55449 without a remainder.

1, 3, 9, 61, 101, 183, 303, 549, 909, 6161, 18483

Step-4: Factors of 55464

List of positive integer factors of 55464 that divides 55449 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2311, 4622, 6933, 9244, 13866, 18488, 27732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55449 and 55464. The biggest common factor number is the GCF number.
So the greatest common factor 55449 and 55464 is 3.

Also check out the Least Common Multiple of 55449 and 55464